Investigate how this pattern of squares continues. You could
measure lengths, areas and angles.
During the third hour after midnight the hands on a clock point in
the same direction (so one hand is over the top of the other). At
what time, to the nearest second, does this happen?
How far have these students walked by the time the teacher's car
reaches them after their bus broke down?
Seven pupils of Wrenbury Primary School's
Extension Maths Club had the
Ah, but how do we know that?
Well, Daniel suggests using good sense and logic to figure out that
half the circumference is bigger than the diameter:
There is agreement with
from Camilla, Phillippa, Hannah and
Laura, all from The Mount
What we do know is that the shortest
distance between two points is a straight line. So, the arc of the
circle or curve of the circumference will make it longer than the
straight line of the diameter.
Now, why is it that half of the circumference
is greater than the diameter, or the diameter is less than half of
... said Catherine
wisely. She went on to give a wonderful
mathematical explanation of her thinking:
Do you agree with her?
The answers above were supported
by Jason and Matthew from
Tattingstone School and Crewe, Errington, Porter, and Croft
as well as Tom ("the Tornado"), who wrote how he "is enjoying this - I
love maths". Good for you Tom!